Physical and numerical realizability requirements for flame surface density approaches

References

• Duclos, J M, Veynante, D, and Poinsot, T, 1993. A comparison of flamelet models for turbulent premixed combustion, Combust. Flame 95 (1993), pp. 101–17.
   Web of Science ®Google Scholar
• Candel, S, Veynante, D, Lacas, F, Maistret, E, Darahiba, N, and Poinsot, T, 1990. "Coherent flamelet model: applications and recent extensions". In: Larrouturou, B E, ed. Recent Advances in Combustion Modelling. Singapore: World Scientific; 1990. pp. 19–64.
   Google Scholar
• Hawkes, E R, and Cant, R S, 2000. A flame surface density approach to large-eddy simulations of premixed turbulent combustion.
   Google Scholar
• Charlette, F, Trouvé, A, Boger, M, and Veynante, D, 1999. A flame surface density model for large-eddy simulations of turbulent premixed flames, The Combustion Institute Joint Meeting of the British, German and French Sections (Nancy) (1999).
   Google Scholar
• Im, H G, Lund, T S, and Ferziger, J H, 1997. Large-eddy simulation of turbulent front propagation with dynamic subgrid models, Phys. Fluids 9 (1997), pp. 3826–33.
   Web of Science ®Google Scholar
• Kim, W W, Menon, S, and Mongia, H C, 1999. Large-eddy simulation of a gas turbine combustor flow, Combust. Sci. Technol. 143 (1999), pp. 25–62.
   Web of Science ®Google Scholar
• Rogallo, R S, and Moin, P, 1984. Numerical simulations of turbulent flows, Ann. Rev. Fluid Mech. 16 (1984), pp. 99–137.
   Web of Science ®Google Scholar
• Vervisch, L, Bidaux, E, Bray, K N C, and Kollmann, W, 1995. Surface density function in premixed turbulent combustion modeling, similarities between probability density function and flame surface approaches, Phys. Fluids 7 (1995), pp. 2496–503.
   Web of Science ®Google Scholar
• Boger, M, Veynante, D, Boughanem, H, and Trouvé, A, 1998. Direct numerical simulation analysis of flame surface density concept for large-eddy simulation of turbulent premixed combustion.
   Google Scholar
• Bray, K N C, Libby, P A, and Moss, J B, 1985. Unified modelling approach for premixed turbulent combustion - part I: general formulation, Combust. Flame 61 (1985), pp. 87–102.
   Web of Science ®Google Scholar
• Marble, F E, and Broadwell, J E, 1977. The coherent flame model of non-premixed turbulent combustion, Project Squid Report TRW-9-PU (1977).
   Google Scholar
• Pope, S, 1988. The evolution of surfaces in turbulence, Int. J. Eng. Sci. 26 (1988), pp. 445–69.
   Web of Science ®Google Scholar
• Candel, S M, and Poinsot, T J, 1990. Flame stretch and the balance equation for the flame area, Combust. Sci. Technol. 70 (1990), pp. 1–15.
   Web of Science ®Google Scholar
• Meneveau, C, and Poinsot, T, 1991. Stretching and quenching of flamelets in premixed turbulent combustion, Combust. Flame 86 (1991), pp. 311–32.
   Web of Science ®Google Scholar
• Cant, R S, Pope, S B, and Bray, K N C, 1990. Modelling of flamelet surface to volume ratio in turbulent premixed combustion.
   Google Scholar
• Hawkes, E R, 2000. "Large eddy simulation of premixed turbulent combustion". Cambridge University Engineering Department; 2000, PhD Thesis.
   Google Scholar
• Veynante, D, Trouvé, A, Bray, K N C, and Mantel, T, 1997. Gradient and counter-gradient scalar transport in turbulent premixed flames, J. Fluid Mech. 332 (1997), pp. 263–93.
   Web of Science ®Google Scholar
• Zimont, V L, 2000. Gas premixed combustion at high turbulence. Turbulent flame closure combustion model, Exp. Therm. Fluid Sci. 21 (2000), pp. 179–86.
   Web of Science ®Google Scholar
• Tullis, S, and Cant, R S, 2001. Counter-gradient scalar transport in large eddy simulation of premixed turbulent combustion. Kingston, Ontario, , at press.
   Google Scholar
• Rutland, C J, and Cant, R S, 1994. Turbulent transport in premixed flames.
   Google Scholar
• Zhang, S, 1994. "Simulations of premixed flames with heat release". University of Wisconsin; 1994, PhD Thesis.
   Google Scholar
• Fichot, F, Lacas, F, Veynante, D, and Candel, S, 1993. One-dimensional propagation of a premixed turbulent flame with a balance equation for the flame surface density, Combust. Sci. Technol. 90 (1993), pp. 35–60.
   Web of Science ®Google Scholar
• Hakberg, B, and Gosman, A D, 1984. Analytical determination of turbulent flame speed from combustion models.
   Google Scholar
• Cant, R S, Rutland, C J, and Trouvé, A, 1990. Statistics for laminar flamelet modelling.
   Google Scholar
• Yeung, P K, Girimaji, S S, and Pope, S B, 1990. Straining and scalar dissipation on material surfaces in turbulence: Implications for flamelets, Combust. Flame 79 (1990), pp. 340–65.
   Web of Science ®Google Scholar
• Tennekes, H, and Lumley, J L, 1989. A First Course in Turbulence. Cambridge, MA: MIT Press; 1989.
   Google Scholar
• Yoshizawa, A, 1993. Subgrid-scale modeling suggested by a two-scale DIA, J. Wind Eng. Indust. Aerodynam. 46 (1993), pp. 69–79.
   Web of Science ®Google Scholar
• Germano, M, Piomelli, U, Moin, P, and Cabot, W H, 1991. A dynamic sub-grid scale eddy viscosity model, Phys. Fluids A 3 (1991), pp. 1760–5.
   Web of Science ®Google Scholar
• Menon, S, and Jou, W-H, 1991. Large-eddy simulations of combustion instability in an axisymmetric ramjet combustor, Combust. Sci. Technol. 75 (1991), pp. 53–72.
   Web of Science ®Google Scholar
• Thibaut, D, and Candel, S, 1998. Numerical study of unsteady turbulent premixed combustion: application to flashback simulation, Combust. Flame 113 (1998), pp. 53–65.
   Web of Science ®Google Scholar
• Trouvé, A, and Poinsot, T, 1994. The evolution equation for flame surface density in turbulent premixed combustion, J. Fluid Mech. 278 (1994), pp. 1–31.
   Web of Science ®Google Scholar